Hyperquot schemes and infinite-dimensional representations of sl(n) -- Anthony Licata, February 20, 2009
The moduli space of degree d maps from P^1 to the flag variety of sl(n) has a natural compactification known as the hyperquot scheme or Laumon space. Finkelberg and Kuznetsov constructed an action of sl(n) on the cohomology of these spaces and gave a conjectural description of the resulting module, which is non-semisimple. We review the Finkelberg-Kuznetsov construction and describe a closely related action of a commutative algebra on the same space. This is joint work with Alina Marian.